I don't think you can easily pinpoint an age because, at least in theory, a male over age 14 could do any of those things, even though still a minor or "infant." I have seen some wills that named a minor son as executor but then also said he should rely on his mother or some other adult for advice and counsel. A 14-year old couldn't sign an enforceable contract (not until age 21) so generally couldn't by or sell land, but could inherit and thus obtain a patent. Males between 14 and 21 needed a legal guardian, although they could say who they wanted, so if you think someone was under 21 I would look for guardianship records.
I think both Virginia and North Carolina followed British Common Law until the Revolutionary War.